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Year 6 equivalent fractions worksheets

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Year 6 · Equivalent fractions

Finding equivalent fractions

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ticked. · free UK primary worksheetsSheet #00053

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Year 6 · Equivalent fractions · Finding equivalent fractions

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ticked. · answersSheet #00053

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What Year 6 equivalent fractions covers

By Year 6 equivalent fractions have stopped being a topic and become a tool: the curriculum asks children to use common multiples to express fractions in the same denomination, so that fractions with unlike denominators can be compared, ordered and added. Each question gives a fraction in its lowest terms and the denominator you want — 5/6 = ?/30, 1/6 = ?/42 — and asks for the numerator that keeps it worth the same. Target denominators run as high as 120, so the multiple has to be found rather than seen. Every sheet is A4, print-ready, and comes with an answer key.

Answers included — a separate marking page with every sheet.

Questions parents ask

What does Year 6 do with equivalent fractions?

Year 6 uses them as a tool rather than as a topic. The statutory statement is about using common multiples to express fractions in the same denomination — turning 3/5 and 1/6 into thirtieths so they can be compared, ordered or added. These sheets drill that one move: given a fraction and the denominator you want, find the numerator that keeps it worth the same. The denominators run to 120, so the multiple has to be worked out rather than spotted.

Why are the answers not simplified?

Because simplifying would print the question as the answer. Each question starts from a fraction already in its lowest terms and asks you to scale it up — 5/6 to thirtieths gives 25/30 — so reducing 25/30 would just hand back 5/6, the fraction you were given. This is the opposite direction from the other Year 6 fraction statement, which is about using common factors to simplify. Both are Year 6 work; this sheet drills the scaling-up one, because that is the half that unlike-denominator addition depends on.

How does this help with adding fractions with different denominators?

It is the whole first step. To add 3/5 and 1/6 a child has to notice that both will go into thirtieths, then rewrite each one — 18/30 and 5/30 — before adding anything. Almost every mistake in Year 6 fraction addition happens in that rewriting rather than in the addition, so practising it on its own, without a sum attached, is usually the fastest way to fix it. Find the common multiple, scale both fractions, then add.

Are the answers included?

Yes. Keep 'Answers' ticked and a separate answer-key page is made with every sheet, so marking takes seconds. Every numerator is derived from the same scaling that built the question, so the key cannot disagree with the sheet.

Do I need to sign up?

No. Set the sheet up, make it, then print it or download the PDF. There is no login, ever.